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[texts]The Magic of Numbers: Chapter One – with Guided Notes - Patrick Bruskiewich
The Magic of Numbers: Chapter One â with Guided Notes by Eric Temple Bell Transcribed and annotated by Patrick Bruskiewich Excerpt from The Magic of Numbers. The entire book, complete with Guided Notes is available in three volumes through Amazon © Patrick Bruskiewich 2014, Vancouver, BC, Canada All rights reserved. This excerpt, or any part thereof, must not be reproduced in any form without the written permission of the author...
Keywords: Mathematics; Pythagoras; Magic of Numbers; Eric Temple Bell; Guided Notes
Downloads: 21
[texts]Operation Lucifer: the Sinking of the RMS Lusitania - Patrick Bruskiewich
Excerpt from a historical novel about the sinking of the Royal Mail Ship Lusitania by the German U-Boat U-20 on May 7th, 1915. The novel was written during NANOWRIMO 2014 and is available through Amazon / Kindle Direct © Patrick Bruskiewich 2014, Vancouver, BC, Canada All rights reserved. This excerpt, or any part thereof, must not be reproduced in any form without the written permission of the author...
Keywords: Lusitania; sinking; U-20; sinking of the Lusitania; espionage; gun cotton; Winston Churchill; May 1915; Royal Navy
Downloads: 32
[texts]Clausen'€™s Conundrum - Patrick Bruskiewich
In 1827, or there about, Thomas Clausen proposed a mathematical question involving imaginary numbers that is a conundrum of sorts. His argument leads to a logical inconsistency which is difficult to see, and rather important in its implication. In this short paper we shall look at Clausen's Conundrum and its resolution. Beyond the symbolism of mathematics is its logical structure. By taking a look beyond the symbolism of the steps in Clausen's argument we find that it is possible to resolve his ...
Keywords: Thomas Clausen; Clausen Conundrum; Imaginary Numbers; logical structure; 1827; Euler's Treat
Downloads: 5
[texts]Finding the Size of a Right Triangle using its known Area and Perimeter - Patrick Bruskiewich
The Right Angle Triangle is one of the most widely studied basic trigonometric shape. In this short paper an algorithm to determine the dimension, or size, of the right triangle using the values of its known Area and Perimeter is derived. The two algorithms we have derived for the sum and difference of a and b (a + b) = (P^2 + 4A) / 2P and (a â b) = (1/2) â [P^2 â 24A + 16 (A/P)^2] lend themselves readily to calculation...
Keywords: right triangle; perimeter; area; finding the values for a b and c; Pythagorean Theorem
Downloads: 8
[texts]Cardan's Sophistic Sum and Product Question from Ars Magna - Patrick Bruskiewich
In his book Ars Magna (the Great Art) of 1545 the mathematician Girolamo Cardano (1501-1576), also known as Cardan, presented his famous Sum and Product question: What two numbers have a sum of ten and a product of 40? Cardan called this question Sophistic because he saw no real world or physical meaning to the solution to his question. In his own words he said of his Sophistic question that its solution " .....
Keywords: Cardan; Cardano. Sphistic Question; Magical Genius; Ars Magna; Volkoff; Kamepffer; Complex Numbers
Downloads: 19
[texts]The Critical Angle for a Projectile in Flight - Patrick Bruskiewich
A projectile is launched from the origin at some angle A¸ to the horizontal. For angle less than the critical angle A_c the square of the distance of the projectile from the origin is always increasing. For angles greater than the critical angle A_c , the square of the distance from the origin first increases then decreases. In this short paper we will find the critical angle and discuss its implication...
Keywords: projectile motion; critical angle; radius from origin; extrememum to radius
Downloads: 12
[texts]Really ... Does Malala Deserve a Nobel Prize? - Patrick Bruskiewich
On the eve of the announcement of the 2014 Nobel Peace Prize, like an old, tarnished and somewhat scratched penny, Malala Yousafzai's name once again is mentioned. I am rather surprised that this young and unworthy candidate was nominated for the Nobel Peace Prize, even as a symbol, for there are other better choices regarding better education in the Third World, several of which I mention below. And I think, like most of the world, should the Oslo Committee decide to grant this young and undese...
Keywords: Nobel Peace Prize; Oslo Committee; Afghanistan; Education; Malala; Wesa; Adrienne Clarkson; Parliament of Canada; 2014 Nobel Prize
Downloads: 69
[texts]A Simple Derivation of the Relationship of the Slope of Perpendicular Lines Using the Rotational Transformation Matrix - Patrick Bruskiewich
It is well known that the relationship between two perpendicular lines with slopes m1 and m2 is that m2 is the negative of the reciprocal of m1. In this short paper a simple derivation of this relationship is provided using the Rotational Transformation Matrix. This manuscript was written in 1980, but remained lost in the authorâs library until recently rediscovered.
Keywords: perpendicular lines; slopes of lines; slopes of perpendicular lines; Rotational Transformation Matrix; simple derivation
Downloads: 15
[texts]The Radius of Curvature in a Tangential Polar - Coordinate System - Patrick Bruskiewich
In some questions about orbital mechanics a useful two-dimensional coordinate system is the Tangential Polar Coordinate System. In this system a trajectory is defined by the distance from a point of origin O to a point P, as well as the perpendicular distance from the O to the tangent of the trajectory at point P. This short paper will derive an expression for the radius of curvature at P in terms of the offset distance p which is the perpendicular to the tangent line from P and goes through O...
Keywords: Radius of curvature; tangential polar-coordinates
Downloads: 12
[texts]The Spiral of Archimedes, the Logarithmic / Exponential Spiral and the Hyperbolic Spiral, and their Arc Lengths and Tangent Angles - Patrick Bruskiewich
This short paper looks at three Spirals â the Spiral of Archimedes, the Logarithmic / Exponential Spiral and the Hyperbolic Spiral â and their arc lengths, and tangent angles. These three spirals were the subject of a third year mathematical physics assignment given the author by the late Dr. F. Kaempffer at the Department of Physics and Astronomy, University of British Columbia. This manuscript was written in 1982 but remained lost in the authorâs library until recently rediscovered.
Keywords: Spiral of Archimedes; Logarithmic Spiral; Exponential Spiral; Hyperbolic Spiral; arc lengths; tangent angles
Downloads: 24
[texts]Deep Water Waves in the Samoan Channel - Patrick Bruskiewich
Recently, 250 m highdeep water ocean waves were discovered at a depth of 5,500 metres in the Samoan Channel in the South Pacific. This short paper estimates the velocity of the waves and their characteristic times.
Keywords: deep water wave; Samoan Channel; wave velocity; group velocity; characteristic time
Downloads: 7
[texts]A Self-Consistent Estimate of the Mass of the Proton - Patrick Bruskiewich
It is possible to use the de Broglie Hypothesis, and Einstein's Mass-Energy Equation, to derive a self-consistent estimate for the mass of a proton that relies merely on the length scale of the phenomena we call "the proton". We can also use the proton to estimate the value for the Planck's Constant. This manuscript was written in 1982, but remained lost in the author's library until recently rediscovered...
Keywords: proton mass; self-consistent model; de Broglie hypothesis; Einstein Mass- Energy Equation; Quanum Square Well; Planck's Constant
Downloads: 9
[texts]Gotterdamerung: Twilight of the Gods - Patrick Bruskiewich
A novel about German and Japanese wartime cooperation in the field of nerve gas and rocketry and the Imperial Japanese Navy's plans to attack San Francisco during the inaugural meeting of the United Nations in the spring and early summer of 1945. The Naval Intercept Station, Station Pont Grey, at the University of British Columbia is featured in this story. This novel is based on historical fact, some of which remains hidden within national archives.
Keywords: Station Point Grey; Nerve Gas; Rockets; Wartime cooperation between Germany and Japan; attack on San Francisco; UN Meeting spring 1945
Downloads: 12
[texts]She Has Gone A Great Distance - Patrick Bruskiewich
An original poem by Patrick Bruskiewich She Has Gone a Great Distance She has gone a great distance leaving me forlorn ...
Keywords: original poem; love; separation
Downloads: 28
[texts]Where Has Beans Roll In - Patrick Bruskiewich
Twelve New and Original Poems by Patrick Bruskiewich 1. Oh Come Philistine! 2. Enough Already! 3. Where Has Beans Roll In 4. Their Lives Are All Lies 5. Like Soft, White Feathers 6. He Played a Disconcerting Role 7. The World is Made for the Mean 8. Archimedesâ Ambiguity 9. A is for adolescent ⦠Angst 10. Thatâs It! 11. Yo, William! 12. Titania
Keywords: poem; existentialism; Canadian Poetry
Downloads: 17
[texts]Gotterdamerung: Twilight of the Gods - Patrick Bruskiewich
A Novel about Wartime Technical Collaboration between German and Japan in the area of rockets and chemical weapons, and a plan to attack San Francisco during the inaugural meeting of the United Nations in the spring of 1945. There are aspects to this novel based on the radio intercept work done at Station Point Grey at the University of British Columbia, and still classified Special Intelligence that is secreted away in the intelligence archives of several Governments.
Keywords: World War Two; Station Point Grey; Wasserfall Missile; Chemical weapons; Imperial Japan; Imperial Japanese Navy; nerve gas; I.G. Farben’s facility; Dyhernfurth; attack on San Francisco; UN inaugural meeting
Downloads: 80
[texts]Helles Licht:Bright Lights - A Novel about Nuclear Weapons Development by wartime Germany and Japan - Patrick Bruskiewich
This book is a novel written in 2013 based in history of the wartime development of nuclear weapons by German and Japan. The novel focuses on the work of Fritz Houterman, and the von Ardenne Group, on the van der Graff work of Gerlach a,d the sharing of their results with the Japanese Navy group with Nishina and Yukawa. After the Second World War, Yukawa would win a Nobel Prize in Physics. Oppenheimer himself recommended him for the Prize...
Keywords: Nuclear Weapons; Second World War; Nazi Germany; Imperial Japan; Fritz Houterman; Yukawa; Nishina; neutron bomb
Downloads: 59
[texts]Eros in Prose and Poetry – The Alphabet of Love - Patrick Bruskiewich
The purpose of the Eros in Prose and Poetry Series is to share some of the most amorous and enticing pieces of prose and poetry to be found in the English Language, or which may have been translated into English from the many languages of Love. This first edition of the series includes thirty poems, including The Alphabet of Love - an amorous poem that made the rounds in manuscript form in the 1960âs...
Keywords: Eros; Love; Poems; Prose; Valentine Day; Shakespeare; Donne; Yeats; e. e. cummings; Patrick Bruskiewich
Downloads: 58
[texts]The Hyperbola and its Connexion to the Natural Logarithm - Patrick Bruskiewich
A simple question from geometry is to find the curve such that the part of each tangent between the coordinate axes in Cartesian R2 space is bisected at the point of tangency. In this short paper this simple question in geometry is approached in two ways and a connexion made to the Natural Logarithm. It is worth noticing that, Hyperbola derives from the Greek word huperbole, which means excess or exaggeration...
Keywords: Hyperbola; separation of variables; natural logarithm; implicit differentiation
Downloads: 55
[texts]Where Has Beans Roll In - Patrick Bruskiewich
An original poem by Patrick Bruskiewich There is a coffee shop where has beans roll in from around the world where they aspire to ungrateful things to blings and black and polywacks
Keywords: poem; existentialism; Canadian Poetry
Downloads: 3
[texts]A Soft Carpel From Which it Sips - Patrick Bruskiewich
An original poem by Patrick Bruskiewich The bee rubbed its abdomen into the rich and succulent Pollen, in complete abandon in ecstasy, its thorax bent.
Keywords: poem; eros; Canadian poetry
Downloads: 13
[texts]Plain and Simple - Patrick Bruskiewich
An original poem by Patrick Bruskiewich How is it you can come and just loathe people, plain people and in particular their simple pleasures more than anything else, how come?
Keywords: poem; existentialism; Canadian Poetry
Downloads: 17
[texts]Atta girl, Smash the Glass€! Would You Believe It - Patrick Bruskiewich
An original poem by Patrick Bruskiewich Help me I am caught between the soft covers of this silly book into which Iâve fallen but canât climb out.
Keywords: poem; existentialism; Canadian Poetry
Downloads: 28
[texts]Bite or be Bitten - Patrick Bruskiewich
An original poem by Patrick Bruskiewich For better or for worst human nature does not change art is what artists make of it writing is what writers make it too.
Keywords: poem; existentialism; Canadian Poetry
Downloads: 21
[texts]Worked Upon by Words - Patrick Bruskiewich
An original poem by Patrick Bruskiewich When it comes to words, are we merely content to sit and read, to surrender and drift away
Keywords: poem; existentialism; Canadian Poetry
Downloads: 10
[texts]Trials Worthy of an English Gentleman - Patrick Bruskiewich
An original poem by Patrick Bruskiewich We are told the only two trials worthy of an English Gentleman are poetry and war In life thereâs not much more.
Keywords: poem; eros; Canadian poetry
Downloads: 16
[texts]Towards Eros, Lost and Found - Patrick Bruskiewich
An original poem by Patrick Bruskiewich Those Eros lost and found And errors in a sorted life Skirt you disaster here and there Set thee coarse course, towards the dusk!
Keywords: poem; eros; Canadian poetry
Downloads: 4
[texts]Lwoh (Howl spelled backwards ...) - Patrick Bruskiewich
An original poem by Patrick Bruskiewich I saw the best of my generation forgotten and pushed aside by arrogance dragged through the streets by the mad, the mean the angry mixed tripsters, occupying the centre of town
Keywords: poem; existentialism; Canadian Poetry
Downloads: 4
[texts]There's Frost in the Air - Patrick Bruskiewich
An original poem by Patrick Bruskiewich I shall walk down this road Alone if need be, a bohemian Lost amongst the fauxhemians.
Keywords: poem; existentialism; Canadian Poetry
Downloads: 5
[texts]Using the Weierstrass Substitution to Solve the Integrals for Cosine and Sine - Patrick Bruskiewich
To simplify an integral that is a rational function in cos(x) or sin(x), a substitution of the form t= tanâ¡(ax/2) will convert the integrand into an ordinary rational function in t. This substitution, is known as the Weierstrass Substitution, and honours the mathematician, Karl Weierstrass (1815-1897) who developed the technique. In this short paper the integrals for sine and cosine are solved using the Weierstrass Substitution
Keywords: Weierstrass Substitution; Integration; Calculus; mathematics; mathematician; cosine; sine; rational expression; transformation
Downloads: 70
[texts]Conjectures, Proofs and Additives - Patrick Bruskiewich
An original poem by Patrick Bruskiewich Have compassion for us! compassion for we the adventurous for our errors, for our sins. They are Apollinaire in nature.
Keywords: poem; mathematics; Canadian poetry
Downloads: 4
[texts]The Key Cannot Unlock You - Patrick Bruskiewich
An original poem by Patrick Bruskiewich Itâs the pull The measure of all things You canât escape it itâs always there
Keywords: poem; eros; Canadian poetry
Downloads: 9
[texts]What Ever Floats Your Boat - Patrick Bruskiewich
An original poem by Patrick Bruskiewich Row ⦠row ⦠row No happiness at all I work at this Then work at that I paddle to and fro They tell me where to go
Keywords: poem; existentialism; Canadian Poetry
Downloads: 1
[texts]Oh Well, They Are Enough - Patrick Bruskiewich
An original poem by Patrick Bruskiewich Admittedly, they are quite small Twin curiosities at best deceptions that belie their age the true, the time ⦠the test
Keywords: poem; eros; Canadian poetry
Downloads: 4
[texts]There's a Lady Amongst the Laity - Patrick Bruskiewich
An original poem by Patrick Bruskiewich Our little world can be Such a disappointing place one moment ⦠faces here then gone again, without a trace.
Keywords: poem; Love; Canadian poetry
Downloads: 16
[texts]From Behind The Moon - Patrick Bruskiewich
An original poem by Patrick Bruskiewich The moon ⦠the half moon appears from behind its pink, silky cloud
Keywords: poem; eros; Canadian poetry
Downloads: 13
[texts]How To Survive On Nothing - Patrick Bruskiewich
An original poem by Patrick Bruskiewich How to survive on nothing is a test of character
Keywords: poem; existentialism; Canadian Poetry
Downloads: 31
[texts]It Is What It Is - Patrick Bruskiewich
An original poem by Patrick Bruskiewich In life, what is offered you, can never be all thatâs true It is something, just one thing anew Then it twists into something blue
Keywords: poem; existentialism; Canadian Poetry
Downloads: 8
[texts]Ode to Pythagoras - Patrick Bruskiewich
An original poem by Patrick Bruskiewich The Great One he stood And drew back his dark hood It is Pythagoras, our oracle With another of his miracles.
Keywords: poem; mathematics; Canadian poetry
Downloads: 33
[texts]Oh ... Forty - Patrick Bruskiewich
An original poem by Patrick Bruskiewich Oh ⦠Forty! What a perfect number
Keywords: poem; existential; Canadian Poetry
Downloads: 1
[texts]Brother ... Can You Spare a Dime? - Patrick Bruskiewich
An original poem by Patrick Bruskiewich They rob you Of your happiness These letters ⦠the bills The ⦠you owe us
Keywords: poem; depression; Canadian Poetry
Downloads: 4
[texts]That Was That - Patrick Bruskiewich
An original poem by Patrick Bruskiewich I watched from afar As the big black bear ate fistful of my berries
Keywords: poem; funny; Canadian Poetry
Downloads: 1
[texts]Then ... There was the Fifth - Patrick Bruskiewich
An original poem by Patrick Bruskiewich The crows flew overhead They cawed, they cawed, they cawed, but one just strangely cackled And flew unlike the rest.
Keywords: poem; lunacy; Canadian poetry
Downloads: 4
[texts]There'€™s a Mouse in my House - Patrick Bruskiewich
An original poem by Patrick Bruskiewich As I woke up With coffee in cup I happen to see â ... gulp There's a mouse Near my house Oh! What a louse.
Keywords: poem; funny; Canadian Poetry
Downloads: 18
[texts]And Please Don't Forget Something Strong - Patrick Bruskiewich
An original poem by Patrick Bruskiewich I write these words On the back of a crumpled And long discarded plain paper grocery bag â¦
Keywords: poem; art and creativity; Canadian poetry
Downloads: 3
[texts]Towards Uncharted Shores - Patrick Bruskiewich
An original poem by Patrick Bruskiewich She made me wonder about her secret collections of things dainty, pink and orange lace that fit her mood or place
Keywords: poem; eros; Canadian poetry
Downloads: 18
[texts]Nothing is Really Important - Patrick Bruskiewich
An original poem by Patrick Bruskiewich The Universe is really nothing
Keywords: poem; existentialism; Canadian Poetry
Downloads: 16
[texts]That Rush to Never Land - Patrick Bruskiewich
An original poem by Patrick Bruskiewich Who lives in separate worlds, one real The other imagined In the dark
Keywords: poem; eros; Canadian poetry
Downloads: 7
[texts]I Really Need to Beat this Heat - Patrick Bruskiewich
An original poem by Patrick Bruskiewich In the shade I sit, iced mint in hand. Tea is not enough to stave off this heat
Keywords: poem; summer; Canadian Poetry
Downloads: 6
[texts]Nibbles and Bytes - Patrick Bruskiewich
An original poem by Patrick Bruskiewich Nibbles and bytes Damn ⦠nibbles and bytes The hackerâs at it again
Keywords: poem; hacking; Canadian Poetry
Downloads: 3
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